Summary of our physical model: m convective steps of constant size d and indexed by the integer n = { 1,...,m } are separated by discrete interfaces. a) General scheme: the incident, reflected and transmitted waves have amplitudes , ℬ₀ and , respectively. In the nth convective step, the ingoing wave has an amplitude , and the outgoing has an amplitude ℬ_n. b) The corresponding density profile: at each interface, the density undergoes a discontinuous jump by a value Δρ> 0. In the convective steps, it follows an adiabatic gradient. This creates a mean density gradient . c) The corresponding buoyancy frequency profile: N = 0 everywhere, except at the location of the interfaces, where it is a Dirac distribution, which creates a mean stratification .